Scielo RSS <![CDATA[Proyecciones (Antofagasta)]]> vol. 29 num. 1 lang. en <![CDATA[SciELO Logo]]> <![CDATA[<b>SOME DIFFERENCE SEQUENCES DEFINED BY A SEQUENCE OF MODULUS FUNCTIONS</b>]]> The idea of difference sequence spaces was introduced by Kizmaz [6], and this concept was generalized by Bektas and Colak [1]. In this paper, we define the sequence spaces <img border=0 width=99 height=23 src="http:/fbpe/img/proy/v29n1/img01.JPG" alt="http:/fbpe/img/proy/v29n1/img01.JPG">and <img border=0 width=99 height=23 src="http:/fbpe/img/proy/v29n1/img02.JPG" alt="http:/fbpe/img/proy/v29n1/img02.JPG">, where F = (f k) is a sequence of modulus functions, and examine some inclusion relations and properties of these spaces. <![CDATA[<b>SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)</b>]]> We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Our main result is that these algebras are solvable and not necessarily nilpotent. Our results require characteristic ? 2, 3, 5. <![CDATA[<b>GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS</b>]]> In this paper, a fuzzifying matroid is induced respectively from a fuzzy graph and a fuzzy vector subspace. The concepts of graphic fuzzifying matroid and representable fuzzifying matroid are presented and some properties of them are discussed. In general, a graphic fuzzifying matriod can not be representable over any field. But when a fuzzifying matroid is isomorphic to a fuzzifying cycle matroid which is induced by a fuzzy tree, it is a representable over any field. <![CDATA[<b>GRAPHS r-POLAR SPHERICAL REALIZATIONP</b>]]> The graph to considered will be in general simple and finite, graphs with a nonempty set of edges. For a graph G, V(G) denote the set of vertices and E(G) denote the set of edges. Now, let Pr = (0, 0, 0, r) ? R4, r ? R+ . The r-polar sphere, denoted by S Pr , is defined by {x ? R4/ ||x|| = 1 ? x ? Pr }: The primary target of this work is to present the concept of r-Polar Spherical Realization of a graph. That idea is the following one: If G is a graph and h : V (G) ? S Pr is a injective function, them the r-Polar Spherical Realization of G, denoted by G*, it is a pair (V (G*), E(G*)) so that V (G*) = {h(v)/v ? V (G)} and E(G*) = {arc(h(u)h(v))/uv ? E(G)}, in where arc(h(u)h(v)) it is the arc of curve contained in the intersection of the plane defined by the points h(u), h(v), Pr and the r-polar sphere. <![CDATA[<b>MEASURES OF FUZZY SUBGROUPS</b>]]> In this paper, we introduce the notion of degree to which a fuzzy subset is a fuzzy subgroup by means of the implication operator of [0, 1]. A fuzzy subset µ in a group G is a fuzzy subgroup if and only if its subgroup degree m g(µ) = 1. Some properties of subgroup degrees are investigated. <![CDATA[<b>A NOTE ON THE UPPER RADICALS OF SEMINEARRINGS</b>]]> In this paper we work in the class of seminearrings. Hereditary properties inherited by the lower radical generated by a class M have been considered in [2, 5, 6, 7, 9, 10, 12]. Here we consider the dual problem, namely strong properties which are inherited by the upper radical generated by a class M. <![CDATA[<b>ON HARMONIOUS COLORING OF TOTAL GRAPHS OF C(C<sub>n</sub>), C(K<sub>1</sub>,<sub>n</sub>) AND C(P<sub>n</sub>)</b>]]> In this paper, we present the structural properties of total graph of central graph of cycles Cn, star graphs K1,n and paths Pn denoted by T (C(Cn)), T (C(K1,n)) and T (C(Pn)) respectively. We mainly focus our discussion on the harmonious chromatic number of T (C(Cn)), T (C(K1,n)) and T (C(Pn)). <![CDATA[<b>BOUNDEDNESS AND UNIFORM CONVERGENCE IN B-DUALS</b>]]> Suppose E is a vector valued sequence space with operator valued ß-dual EßY . If the space E satisfies certain gliding hump conditions, we consider the connection between pointwise bounded subsets A of EßY and the uniform convergence of the elements of A. For linear operators our results contain results of Li, Wang and Zhong for the spaces c0(X) and lp(X).